Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.0s (32.6%)

Results

1.3s	6173×	body	256	valid
397.0ms	1004×	body	1024	valid
307.0ms	1053×	body	512	valid
10.0ms	26×	body	2048	valid

Bogosity

preprocess57.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1516×	`associate-+l-`
1070×	`distribute-lft-out`
1060×	`associate-+r-`
976×	`distribute-lft-neg-in`
870×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	31	50
2	106	50
3	260	50
4	971	38
5	3882	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 eps (+.f64 x eps)))
(*.f64 x (+.f64 x (+.f64 eps eps)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-out--`
1122×	`distribute-lft-in`
874×	`distribute-rgt-in`
850×	`fma-neg`
748×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	21	25
2	67	25
3	170	25
4	548	15
5	2315	15
6	7614	15

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (fma.f64 2 x eps))

eval1.0ms (0%)

Compiler: Compiled 26 to 15 computations (42.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(*.f64 eps (fma.f64 2 x eps))
1.0ms	eps	@	0	(*.f64 eps (fma.f64 2 x eps))
1.0ms	eps	@	inf	(*.f64 eps (fma.f64 2 x eps))
1.0ms	x	@	0	(*.f64 eps (fma.f64 2 x eps))
0.0ms	x	@	inf	(*.f64 eps (fma.f64 2 x eps))

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1472×	`*-un-lft-identity`
1360×	`add-cube-cbrt`
1342×	`add-cbrt-cube`
1326×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	159	15
2	1820	15

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(*.f64 eps (fma.f64 2 x eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (.f64 2 x)) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2 x) eps) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 eps (fma.f64 2 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (fma.f64 2 x eps))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))))

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1268×	`associate--r+`
1104×	`fma-def`
958×	`log-prod`
918×	`*-commutative`
722×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	540
1	108	540
2	346	540
3	2277	540
4	4808	540
5	7983	540

Stop Event

1×	node limit

Counts

38 → 20

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))

Outputs
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x eps) 2)
✓	2.8b	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
1.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
0.0ms	eps	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
0.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
0.0ms	eps	@	-inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

rewrite117.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`*-commutative`
842×	`associate-*r/`
794×	`unswap-sqr`
658×	`associate-*l/`
618×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	206	38
2	2835	38

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(pow.f64 (+.f64 x eps) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (.f64 x (neg.f64 x)) (fma.f64 (neg.f64 x) x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x (neg.f64 x)) 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (.f64 x (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (.f64 x (neg.f64 x)) 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))))

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-/l*`
766×	`associate-+l-`
668×	`associate-+r-`
604×	`associate-l`
594×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	11445
1	1434	10689
2	7085	10689

Stop Event

1×	node limit

Counts

231 → 282

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x)))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (.f64 x (neg.f64 x)) (fma.f64 (neg.f64 x) x (.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x (neg.f64 x)) 1 (*.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (.f64 x (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) 2) (pow.f64 (+.f64 x eps) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (sqrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (pow.f64 (+.f64 x eps) 4))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (pow.f64 (+.f64 x eps) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (pow.f64 (+.f64 x eps) 4)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (pow.f64 (+.f64 x eps) 4)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (pow.f64 (+.f64 x eps) 4)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) 2) (pow.f64 (+.f64 x eps) 4))))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 x)))
(fma.f64 1 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 x (neg.f64 x)))
(+.f64 (.f64 x (+.f64 x eps)) (.f64 eps (+.f64 x eps)))
(+.f64 (.f64 eps (+.f64 x eps)) (.f64 x (+.f64 x eps)))
(+.f64 (.f64 eps (+.f64 x eps)) (.f64 1 (*.f64 x (+.f64 x eps))))
(+.f64 (.f64 1 (.f64 x (+.f64 x eps))) (*.f64 eps (+.f64 x eps)))
(+.f64 (.f64 (.f64 x (+.f64 x eps)) 1) (.f64 (.f64 eps (+.f64 x eps)) 1))
(+.f64 (.f64 (.f64 eps (+.f64 x eps)) 1) (.f64 (.f64 x (+.f64 x eps)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2))) 1)
(*.f64 (+.f64 x eps) (+.f64 x eps))
(*.f64 (pow.f64 (+.f64 x eps) 2) 1)
(*.f64 1 (pow.f64 (+.f64 x eps) 2))
(.f64 (sqrt.f64 (+.f64 x eps)) (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))))
(.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (pow.f64 (+.f64 x eps) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (.f64 (+.f64 x eps) (cbrt.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))
(.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (/.f64 1 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (/.f64 1 (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (-.f64 x eps) (-.f64 x eps))) (.f64 (/.f64 1 (-.f64 x eps)) (/.f64 1 (-.f64 x eps))))
(.f64 (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)))
(.f64 (.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 x eps)))
(.f64 (.f64 (+.f64 x eps) (cbrt.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))
(.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) (-.f64 (.f64 x x) (.f64 eps eps))) (+.f64 x eps))
(.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) (-.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (.f64 x x) (.f64 eps (+.f64 x eps))))
(.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (-.f64 (pow.f64 x 4) (.f64 (.f64 eps eps) (.f64 (-.f64 eps x) (-.f64 eps x))))) (-.f64 (.f64 x x) (*.f64 eps (-.f64 eps x))))
(.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (pow.f64 x 6) (pow.f64 (.f64 eps (-.f64 eps x)) 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps (-.f64 eps x)) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)))
(.f64 (.f64 (cbrt.f64 (+.f64 x eps)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)))) (*.f64 (cbrt.f64 (+.f64 x eps)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4))) (cbrt.f64 (+.f64 x eps))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4))) (cbrt.f64 (+.f64 x eps))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))))
(/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (/.f64 (-.f64 x eps) (+.f64 x eps)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (/.f64 (.f64 (-.f64 x eps) (-.f64 x eps)) (-.f64 (.f64 x x) (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (/.f64 (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (+.f64 x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (-.f64 (.f64 x x) (.f64 eps eps))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (-.f64 x eps) (-.f64 x eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (*.f64 x x))) (-.f64 eps x))
(/.f64 (.f64 (+.f64 x eps) (.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps)))) (neg.f64 (-.f64 x eps)))
(/.f64 (.f64 (+.f64 x eps) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 1 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps)))) (-.f64 x eps))
(/.f64 (.f64 1 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 eps eps)))) (sqrt.f64 (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (cbrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (.f64 eps eps)))) (cbrt.f64 (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (+.f64 x eps)) (-.f64 eps x))
(/.f64 (.f64 (.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (+.f64 x eps)) (neg.f64 (-.f64 x eps)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 x eps)) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (-.f64 x eps) (-.f64 x eps))) 1) (.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) 1) (-.f64 x eps))
(/.f64 (.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps)))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 eps eps))) (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 x eps)))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) 1) (-.f64 x eps))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (sqrt.f64 (-.f64 x eps))) (sqrt.f64 (-.f64 x eps)))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) (.f64 (cbrt.f64 (-.f64 x eps)) (cbrt.f64 (-.f64 x eps)))) (cbrt.f64 (-.f64 x eps)))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (+.f64 (sqrt.f64 x) (sqrt.f64 eps))) (-.f64 (sqrt.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))) (cbrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(sqrt.f64 (pow.f64 (+.f64 x eps) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))
(cbrt.f64 (pow.f64 (+.f64 x eps) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 eps 2) x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 eps 2) x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(fma.f64 2 (.f64 eps x) (.f64 x x))
(.f64 x (+.f64 (.f64 eps 2) x))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 eps 2) x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 eps 2) x)))
(pow.f64 x 2)
(*.f64 x x)
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(/.f64 (+.f64 eps x) (.f64 1 (/.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (/.f64 1 (fma.f64 x x (.f64 eps (-.f64 eps x))))) (/.f64 1 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (.f64 (/.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (-.f64 x eps) (-.f64 x eps))) 1) (.f64 (-.f64 x eps) (-.f64 x eps)))
(pow.f64 (+.f64 eps x) 2)
(/.f64 (.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) 1) (-.f64 x eps))
(.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) (+.f64 eps x))
(/.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (+.f64 eps x))
(.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 (-.f64 x eps) (.f64 (+.f64 eps x) (-.f64 x eps)))) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps)))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x)))))
(.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 eps 3/2)) (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))))) (*.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 eps eps))) (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 x eps)))
(/.f64 (.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (/.f64 (sqrt.f64 (-.f64 x eps)) (sqrt.f64 (.f64 (+.f64 eps x) (-.f64 x eps)))))
(.f64 (/.f64 (.f64 (+.f64 eps x) (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (-.f64 x eps))) (sqrt.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) 1) (-.f64 x eps))
(.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) (+.f64 eps x))
(/.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (sqrt.f64 (-.f64 x eps))) (sqrt.f64 (-.f64 x eps)))
(.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) (+.f64 eps x))
(/.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) (.f64 (cbrt.f64 (-.f64 x eps)) (cbrt.f64 (-.f64 x eps)))) (cbrt.f64 (-.f64 x eps)))
(.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) (+.f64 eps x))
(/.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (+.f64 (sqrt.f64 x) (sqrt.f64 eps))) (-.f64 (sqrt.f64 x) (sqrt.f64 eps)))
(/.f64 (.f64 (+.f64 eps x) (.f64 (+.f64 eps x) (-.f64 x eps))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 eps)) (+.f64 (sqrt.f64 x) (sqrt.f64 eps))))
(/.f64 (.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 x eps)) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 eps)) (-.f64 (sqrt.f64 x) (sqrt.f64 eps))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (+.f64 eps x))
(.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (+.f64 eps x))
(.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))) (cbrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (+.f64 eps x))
(.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(sqrt.f64 (pow.f64 (+.f64 x eps) 4))
(sqrt.f64 (pow.f64 (+.f64 eps x) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))
(pow.f64 (+.f64 eps x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))
(pow.f64 (+.f64 eps x) 2)
(cbrt.f64 (pow.f64 (+.f64 x eps) 6))
(cbrt.f64 (pow.f64 (+.f64 eps x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))
(pow.f64 (+.f64 eps x) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 x eps))))
(pow.f64 (+.f64 eps x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))
(pow.f64 (+.f64 eps x) 2)

eval122.0ms (2%)

Compiler: Compiled 7752 to 3323 computations (57.1% saved)

prune86.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	297	5	302
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	298	6	304

Error

Counts

304 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	13.6b	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	22.3b	(.f64 eps (.f64 2 x))
▶	15.6b	(*.f64 eps eps)

Compiler

Compiled 106 to 61 computations (42.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	-inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`*-commutative`
766×	`unswap-sqr`
576×	`swap-sqr`
416×	`distribute-lft-in`
404×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	195	15
2	2566	15

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 x eps)))) (-.f64 1 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps eps))) (-.f64 1 (*.f64 2 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (pow.f64 (*.f64 x eps) 2))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (*.f64 x eps)) (exp.f64 (log1p.f64 (*.f64 eps eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 eps eps) (exp.f64 (log1p.f64 (*.f64 2 (*.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps 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simplify134.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1588×	`associate-*r/`
1562×	`distribute-lft-in`
1352×	`associate-*l/`
690×	`associate-/l/`
674×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	305	7211
1	914	6201
2	3867	6201

Stop Event

1×	node limit

Counts

129 → 187

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
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(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(fma.f64 eps (.f64 2 x) (.f64 eps eps))
(fma.f64 eps eps (.f64 2 (.f64 x eps)))
(fma.f64 1 (.f64 2 (.f64 x eps)) (*.f64 eps eps))
(fma.f64 1 (.f64 eps eps) (.f64 2 (*.f64 x eps)))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 x eps))) (sqrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 4) (pow.f64 (cbrt.f64 eps) 2) (.f64 2 (.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (cbrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 x eps)))) (-.f64 1 (*.f64 eps eps)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 eps x)))) 1) (*.f64 eps eps))
(fma.f64 eps eps (expm1.f64 (log1p.f64 (.f64 eps (.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps eps))) (-.f64 1 (.f64 2 (*.f64 x eps))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 eps eps))) 1) (.f64 2 (*.f64 eps x)))
(fma.f64 2 (.f64 eps x) (expm1.f64 (log1p.f64 (.f64 eps eps))))
(-.f64 (/.f64 4 (/.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (pow.f64 (.f64 x eps) 2))) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (*.f64 2 x) eps))))
(-.f64 (.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2)) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (.f64 eps (-.f64 (.f64 2 x) eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 2) (pow.f64 eps 4)) eps) (-.f64 (*.f64 2 x) eps))
(-.f64 (+.f64 (.f64 2 (.f64 x eps)) (exp.f64 (log1p.f64 (*.f64 eps eps)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 eps eps))) 1) (.f64 2 (*.f64 eps x)))
(fma.f64 2 (.f64 eps x) (expm1.f64 (log1p.f64 (.f64 eps eps))))
(-.f64 (+.f64 (.f64 eps eps) (exp.f64 (log1p.f64 (.f64 2 (*.f64 x eps))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 eps x)))) 1) (*.f64 eps eps))
(fma.f64 eps eps (expm1.f64 (log1p.f64 (.f64 eps (.f64 2 x)))))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 (.f64 (*.f64 2 x) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 4)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 (pow.f64 (cbrt.f64 eps) 4) (.f64 (*.f64 2 x) (cbrt.f64 eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 eps) (+.f64 (.f64 (.f64 2 x) (pow.f64 (cbrt.f64 eps) 2)) (.f64 eps (pow.f64 (cbrt.f64 eps) 2))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 eps) (+.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (.f64 (.f64 2 x) (pow.f64 (cbrt.f64 eps) 2))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (.f64 eps (-.f64 (*.f64 2 x) eps))))
(-.f64 (.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2)) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (.f64 eps (-.f64 (.f64 2 x) eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 2) (pow.f64 eps 4)) eps) (-.f64 (*.f64 2 x) eps))
(.f64 (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 eps 4) (.f64 (.f64 (.f64 2 (.f64 eps x)) eps) (-.f64 (.f64 2 x) eps))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 2 (.f64 (.f64 eps x) eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 (.f64 2 x) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(.f64 (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)) (sqrt.f64 eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 eps) (fma.f64 2 x eps)) (pow.f64 (cbrt.f64 eps) 2))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 x eps)) 2)) (/.f64 1 (.f64 eps (-.f64 eps (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 eps x)) 2)) (.f64 eps (+.f64 eps (.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 eps 4) (.f64 4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (+.f64 eps (.f64 x -2))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 eps (.f64 2 x)) 2)) (.f64 eps (+.f64 eps (.f64 x -2))))
(.f64 (/.f64 1 (.f64 eps (-.f64 (.f64 2 x) eps))) (-.f64 (pow.f64 (.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)))
(-.f64 (.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2)) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (.f64 eps (-.f64 (.f64 2 x) eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 2) (pow.f64 eps 4)) eps) (-.f64 (*.f64 2 x) eps))
(.f64 (/.f64 1 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps))))) (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 eps 4) (.f64 (.f64 (.f64 2 (.f64 eps x)) eps) (-.f64 (.f64 2 x) eps))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 2 (.f64 (.f64 eps x) eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 (.f64 2 x) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (pow.f64 eps 4))) (/.f64 1 (.f64 eps (neg.f64 (-.f64 (*.f64 2 x) eps)))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 eps x)) 2)) (.f64 eps (+.f64 eps (.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 eps 4) (.f64 4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (+.f64 eps (.f64 x -2))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 eps (.f64 2 x)) 2)) (.f64 eps (+.f64 eps (.f64 x -2))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps)))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 eps 4) (.f64 (.f64 (.f64 2 (.f64 eps x)) eps) (-.f64 (.f64 2 x) eps))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 2 (.f64 (.f64 eps x) eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 (.f64 2 x) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (pow.f64 eps 4)) (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (pow.f64 eps 4))) (.f64 eps (fma.f64 2 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (pow.f64 eps 4)) (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 2) (pow.f64 eps 4)) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 2) (.f64 (fma.f64 2 x eps) (pow.f64 eps 3))))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 3) (pow.f64 eps 6))) (fma.f64 (fma.f64 2 x eps) (pow.f64 eps 3) (.f64 4 (pow.f64 (*.f64 eps x) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 2) (pow.f64 eps 4)) (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 3) (pow.f64 eps 6)) (fma.f64 (fma.f64 2 x eps) (pow.f64 eps 3) (pow.f64 (.f64 eps (.f64 2 x)) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 4) (pow.f64 (.f64 (pow.f64 eps 3) (-.f64 eps (.f64 2 x))) 2))) (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (.f64 (pow.f64 eps 3) (-.f64 eps (*.f64 2 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (pow.f64 (.f64 (+.f64 eps (.f64 -2 x)) (pow.f64 eps 3)) 2))) (-.f64 (pow.f64 (.f64 2 (.f64 eps x)) 2) (.f64 (+.f64 eps (*.f64 -2 x)) (pow.f64 eps 3))))
(.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 4) (pow.f64 (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3)) 2))) (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3))))
(.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 4) (pow.f64 (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3)) 2))) (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 2) (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) 3) (pow.f64 (.f64 (pow.f64 eps 3) (-.f64 eps (.f64 2 x))) 3))) (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 4) (.f64 (.f64 (pow.f64 eps 3) (-.f64 eps (.f64 2 x))) (-.f64 (.f64 (pow.f64 eps 3) (-.f64 eps (.f64 2 x))) (pow.f64 (.f64 2 (.f64 x eps)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 eps x)) 2) 3) (pow.f64 (.f64 (+.f64 eps (.f64 -2 x)) (pow.f64 eps 3)) 3))) (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 4) (.f64 (.f64 (+.f64 eps (.f64 -2 x)) (pow.f64 eps 3)) (-.f64 (.f64 (+.f64 eps (.f64 -2 x)) (pow.f64 eps 3)) (pow.f64 (.f64 2 (.f64 eps x)) 2)))))
(.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3)) 3) (pow.f64 (.f64 eps (.f64 2 x)) 6))) (fma.f64 (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3)) (-.f64 (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3)) (.f64 4 (pow.f64 (.f64 eps x) 2))) (pow.f64 (.f64 eps (.f64 2 x)) 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3)) 3) (pow.f64 (.f64 eps (.f64 2 x)) 6)) (fma.f64 (pow.f64 eps 3) (.f64 (+.f64 eps (.f64 x -2)) (fma.f64 (+.f64 eps (.f64 x -2)) (pow.f64 eps 3) (neg.f64 (pow.f64 (.f64 eps (.f64 2 x)) 2)))) (pow.f64 (.f64 eps (.f64 2 x)) 4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
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(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 2 (.f64 (.f64 eps x) eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 (.f64 2 x) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6)) (sqrt.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps)))))) (sqrt.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 eps 4) (.f64 (.f64 (.f64 2 (.f64 eps x)) eps) (-.f64 (.f64 2 x) eps))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 2 (.f64 (.f64 eps x) eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 (.f64 2 x) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps))))) (cbrt.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps))))))) (cbrt.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (.f64 2 x) eps))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 eps 4) (.f64 (.f64 (.f64 2 (.f64 eps x)) eps) (-.f64 (.f64 2 x) eps))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 2 (.f64 (.f64 eps x) eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 (.f64 2 x) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 2 x eps)))) (exp.f64 (log1p.f64 (.f64 eps (fma.f64 2 x eps))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 2 x eps)))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 2 x eps))))) (.f64 eps (fma.f64 2 x eps))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 2 x eps))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 eps (fma.f64 2 x eps))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))
(/.f64 (-.f64 (.f64 (/.f64 4 (/.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (pow.f64 (.f64 x eps) 2))) (/.f64 4 (/.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (pow.f64 (.f64 x eps) 2)))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))) (+.f64 (/.f64 4 (/.f64 (.f64 eps (-.f64 (.f64 2 x) eps)) (pow.f64 (.f64 x eps) 2))) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (*.f64 2 x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2)) (.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2))) (.f64 (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))) (+.f64 (.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2)) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps)))))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 eps x) 2)) (pow.f64 eps 4)) (.f64 eps (-.f64 (.f64 2 x) eps))) (fma.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))) (fma.f64 (/.f64 4 (.f64 eps (-.f64 (.f64 2 x) eps))) (pow.f64 (.f64 eps x) 2) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (*.f64 2 x) eps)))))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 2 x)) 2) (pow.f64 eps 4)) eps) (-.f64 (.f64 2 x) eps)) (fma.f64 (/.f64 (/.f64 4 eps) (-.f64 (.f64 2 x) eps)) (pow.f64 (.f64 eps x) 2) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps))))) (fma.f64 (/.f64 (/.f64 4 eps) (-.f64 (.f64 2 x) eps)) (pow.f64 (.f64 eps x) 2) (/.f64 (pow.f64 eps 4) (.f64 eps (-.f64 (.f64 2 x) eps)))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 x eps)) 2) (pow.f64 eps 4)) (.f64 eps (neg.f64 (-.f64 (.f64 2 x) eps)))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 2 (.f64 eps x)) 2)) (.f64 eps (+.f64 eps (.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 eps 4) (.f64 4 (pow.f64 (.f64 eps x) 2))) (.f64 eps (+.f64 eps (.f64 x -2))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (.f64 eps (.f64 2 x)) 2)) (.f64 eps (+.f64 eps (.f64 x -2))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 x eps)) 3) (pow.f64 eps 6)) (neg.f64 (+.f64 (pow.f64 eps 4) (.f64 (.f64 2 (.f64 x eps)) (.f64 eps (-.f64 (*.f64 2 x) eps)))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 2 (.f64 eps x)) 3) (pow.f64 eps 6))) (+.f64 (pow.f64 eps 4) (.f64 (.f64 (.f64 2 (.f64 eps x)) eps) (-.f64 (.f64 2 x) eps))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 2 (.f64 (.f64 eps x) eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 eps x) 3) (pow.f64 eps 6)) (fma.f64 (.f64 (.f64 2 x) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps) (pow.f64 eps 4)))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(fabs.f64 (*.f64 eps (fma.f64 2 x eps)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (.f64 2 x) (.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (.f64 2 (.f64 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (.f64 2 (.f64 x eps)) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (.f64 eps eps) (.f64 2 (*.f64 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 x eps))) (sqrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 4) (pow.f64 (cbrt.f64 eps) 2) (.f64 2 (.f64 x eps)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x eps))) 2) (cbrt.f64 (.f64 2 (.f64 x eps))) (*.f64 eps eps))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

localize3.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
✓	0.0b	(+.f64 x (+.f64 x eps))
✓	6.4b	(+.f64 x (-.f64 eps x))

Compiler

Compiled 31 to 7 computations (77.4% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
0.0ms	eps	@	-inf	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
0.0ms	x	@	inf	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
0.0ms	eps	@	inf	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
0.0ms	x	@	0	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))

rewrite257.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`associate-/r*`
588×	`associate-/r/`
560×	`associate-+l+`
536×	`associate-/l*`
418×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	224	57
2	3724	57

Stop Event

1×	node limit

Counts

3 → 308

Calls

Call 1

Inputs
(+.f64 x (-.f64 eps x))
(+.f64 x (+.f64 x eps))
(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) (-.f64 1 (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (-.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (+.f64 1 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 eps x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 eps (/.f64 (+.f64 x eps) eps)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps eps (*.f64 x (+.f64 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(+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 eps (-.f64 x x)) (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps (-.f64 x x)) x (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))))))

simplify194.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-r`
1290×	`associate-/l*`
1144×	`associate-l`
852×	`associate-/r*`
664×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	17382
1	2311	17160

Stop Event

1×	node limit

Counts

380 → 520

Calls

Call 1

Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(-.f64 eps (-.f64 x x))
(-.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (+.f64 x eps) x)
(-.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) (-.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (-.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (+.f64 x 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (-.f64 1 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (-.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 eps)) (+.f64 1 (-.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 eps x))) (-.f64 1 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (/.f64 eps (/.f64 (+.f64 x eps) eps)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x eps)) x))
(-.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps eps (.f64 x (+.f64 x eps)))) (-.f64 (/.f64 (pow.f64 x 3) (fma.f64 eps eps (.f64 x (+.f64 x eps)))) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (-.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (+.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)) x))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (-.f64 eps x)))) 1)
(-.f64 (+.f64 x (/.f64 eps (/.f64 (+.f64 x eps) eps))) (/.f64 (*.f64 x x) (+.f64 x eps)))
(-.f64 (+.f64 x (/.f64 (pow.f64 eps 3) (fma.f64 eps eps (.f64 x (+.f64 x eps))))) (/.f64 (pow.f64 x 3) (fma.f64 eps eps (.f64 x (+.f64 x eps)))))
(-.f64 (+.f64 (-.f64 eps x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x eps) 0) x)
(*.f64 (+.f64 eps (-.f64 x x)) 1)
(*.f64 1 (+.f64 eps (-.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 eps (-.f64 x x))) (sqrt.f64 (+.f64 eps (-.f64 x x))))
(*.f64 (cbrt.f64 (+.f64 eps (-.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x x))) 2) (cbrt.f64 (+.f64 eps (-.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (+.f64 x (-.f64 x eps))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x eps))) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)))
(.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))
(.f64 (/.f64 1 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 1) (/.f64 1 (+.f64 eps (+.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2))) (+.f64 eps (-.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (-.f64 (-.f64 x x) eps))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))) (fma.f64 x x (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps))))
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(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 eps (+.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x (-.f64 x eps))) (cbrt.f64 (+.f64 x (-.f64 x eps))))) (cbrt.f64 (+.f64 x (-.f64 x eps))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 eps (+.f64 x x))) (+.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 eps x))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (+.f64 eps (+.f64 x x))) 1) (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (+.f64 eps (+.f64 x x))) (sqrt.f64 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (+.f64 eps (+.f64 x x))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (-.f64 x x))) 1) (-.f64 (-.f64 x x) eps))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (-.f64 x x))) (sqrt.f64 (-.f64 (-.f64 x x) eps))) (sqrt.f64 (-.f64 (-.f64 x x) eps)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (-.f64 x x))) (*.f64 (cbrt.f64 (-.f64 (-.f64 x x) eps)) (cbrt.f64 (-.f64 (-.f64 x x) eps)))) (cbrt.f64 (-.f64 (-.f64 x x) eps)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (-.f64 x x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x eps))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (+.f64 eps (-.f64 x x))) 1) (fma.f64 x x (.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (+.f64 eps (-.f64 x x))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (+.f64 eps (-.f64 x x))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (+.f64 x (-.f64 x eps))) (-.f64 (-.f64 x x) eps))
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(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2))) (fma.f64 x x (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))) (+.f64 x (-.f64 x eps)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (fma.f64 x x (.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x)))))
(pow.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps (-.f64 x x))) (+.f64 eps (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (-.f64 x x)) 3) (pow.f64 (+.f64 eps (+.f64 x x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (+.f64 x x)) 3) (pow.f64 (+.f64 eps (-.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(fma.f64 x (+.f64 eps (-.f64 x x)) (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))
(fma.f64 (+.f64 eps (-.f64 x x)) x (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))

Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
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(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
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(.f64 2 (.f64 eps x))
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(pow.f64 eps 2)
(*.f64 eps eps)
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(pow.f64 eps 2)
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(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps 0) (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps (-.f64 x x))) (+.f64 eps (+.f64 x x))))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))) 3))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (-.f64 x x)) 3) (pow.f64 (+.f64 eps (+.f64 x x)) 3)))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (+.f64 x x)) 3) (pow.f64 (+.f64 eps (-.f64 x x)) 3)))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))) 1))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(fma.f64 x (+.f64 eps (-.f64 x x)) (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))
(fma.f64 (+.f64 eps (-.f64 x x)) x (*.f64 (+.f64 eps (-.f64 x x)) (+.f64 x eps)))
(*.f64 (+.f64 eps 0) (fma.f64 2 x eps))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x eps) (+.f64 x eps))
✓	2.8b	(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))
0.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))
0.0ms	eps	@	-inf	(*.f64 (+.f64 x eps) (+.f64 x eps))
0.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))
0.0ms	x	@	inf	(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))

rewrite113.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`associate-*r/`
1014×	`distribute-lft-in`
1000×	`associate-*l/`
994×	`*-commutative`
360×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	195	38
2	3052	38

Stop Event

1×	node limit

Counts

2 → 240

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))
(*.f64 (+.f64 x eps) (+.f64 x eps))

Outputs

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egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x eps) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x eps) (*.f64 eps (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x eps) x (*.f64 eps (+.f64 x eps)))))))

simplify378.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-+l+`
976×	`distribute-lft-in`
888×	`associate-+r+`
886×	`distribute-rgt-in`
818×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	605	16914
1	1847	15518

Stop Event

1×	node limit

Counts

288 → 382

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x))) (fma.f64 (neg.f64 x) x (*.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (neg.f64 (.f64 x x)) (.f64 2 (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x))) (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x)))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 (.f64 x x)) 1 (*.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x))) (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x))))
(+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 1 (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(+.f64 (.f64 x x) (+.f64 (.f64 x eps) (+.f64 (.f64 eps (+.f64 x eps)) (neg.f64 (.f64 x x)))))
(+.f64 (.f64 x x) (+.f64 (.f64 x eps) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (.f64 2 (fma.f64 (neg.f64 x) x (*.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 (.f64 x x)) 1 (*.f64 x x)))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x))) (fma.f64 (neg.f64 x) x (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x))) (.f64 2 (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x)) (.f64 2 (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)) (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x))) (fma.f64 (neg.f64 (.f64 x x)) 1 (*.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x)) (fma.f64 (neg.f64 (.f64 x x)) 1 (*.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)) (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (.f64 1 (.f64 2 (fma.f64 (neg.f64 x) x (.f64 x x)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (.f64 1 (fma.f64 (neg.f64 (.f64 x x)) 1 (.f64 x x))))
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(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 2) (.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))) 1) (-.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 (neg.f64 (.f64 x x)) 3)) 1) (+.f64 (pow.f64 (+.f64 x eps) 4) (-.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 3) (pow.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 2) (.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))) (.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))) 1) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (*.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 2)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (*.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 x (-.f64 eps x))) (+.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (.f64 x x) (*.f64 x (+.f64 x eps)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 eps (+.f64 x x))) (+.f64 (.f64 x (+.f64 x eps)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (+.f64 x eps) 4)) (.f64 (pow.f64 x 4) (pow.f64 x 4))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 4) 3) (pow.f64 (pow.f64 x 4) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (+.f64 (.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (+.f64 x eps) 4)) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 (+.f64 x eps) 6)) (.f64 (pow.f64 x 6) (pow.f64 x 6))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4)))) (+.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 6) 3) (pow.f64 (pow.f64 x 6) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4)))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 (+.f64 x eps) 6)) (.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) 1) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) 1) (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (*.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4))))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)) (pow.f64 x 4))))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (neg.f64 (*.f64 x x)))
(fma.f64 1 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(fma.f64 1 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (neg.f64 (*.f64 x x)))
(fma.f64 (+.f64 eps (+.f64 x x)) (+.f64 x (-.f64 eps x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(+.f64 (.f64 x x) (+.f64 (.f64 x eps) (*.f64 eps (+.f64 x eps))))
(+.f64 (.f64 eps eps) (+.f64 (.f64 x eps) (*.f64 x (+.f64 x eps))))
(+.f64 (.f64 eps (+.f64 x eps)) (.f64 x (+.f64 x eps)))
(+.f64 (.f64 x (+.f64 x eps)) (.f64 eps (+.f64 x eps)))
(+.f64 (.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (+.f64 x eps))))
(+.f64 (+.f64 (.f64 x x) (.f64 eps (+.f64 x eps))) (*.f64 x eps))
(+.f64 (+.f64 (.f64 eps (+.f64 x eps)) (.f64 x eps)) (*.f64 x x))
(+.f64 (+.f64 (.f64 x (+.f64 x eps)) (.f64 x eps)) (*.f64 eps eps))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2))) 1)
(/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (/.f64 (-.f64 x eps) (+.f64 x eps)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (/.f64 (.f64 (-.f64 x eps) (-.f64 x eps)) (-.f64 (.f64 x x) (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (/.f64 (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (+.f64 x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (-.f64 (.f64 x x) (.f64 eps eps))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 (.f64 x x) (.f64 eps eps))) (.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps)))) (-.f64 (.f64 x (+.f64 x eps)) (.f64 eps (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (-.f64 (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps))) (.f64 (.f64 eps (+.f64 x eps)) (*.f64 x (+.f64 x eps))))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 eps eps) (*.f64 x x))) (-.f64 eps x))
(/.f64 (.f64 (+.f64 x eps) (neg.f64 (-.f64 (.f64 x x) (*.f64 eps eps)))) (neg.f64 (-.f64 x eps)))
(/.f64 (.f64 (+.f64 x eps) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 (.f64 x x) (.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 1 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps)))) (-.f64 x eps))
(/.f64 (.f64 1 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps))))) (-.f64 (.f64 x (+.f64 x eps)) (*.f64 eps (+.f64 x eps))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3))) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (-.f64 (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps))) (.f64 (.f64 eps (+.f64 x eps)) (.f64 x (+.f64 x eps))))))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 eps eps)))) (sqrt.f64 (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (.f64 eps eps)))) (cbrt.f64 (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (cbrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (+.f64 x eps)) (-.f64 eps x))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (*.f64 eps eps))) (+.f64 x eps)) (neg.f64 (-.f64 x eps)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 x eps)) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 (.f64 x x) (.f64 eps eps))) 1) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) 1) (-.f64 x eps))
(/.f64 (.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps)))) 1) (-.f64 (.f64 x (+.f64 x eps)) (*.f64 eps (+.f64 x eps))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) 1) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (-.f64 (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps))) (.f64 (.f64 eps (+.f64 x eps)) (.f64 x (+.f64 x eps))))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (.f64 (-.f64 x eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 eps eps))) (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 x eps)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps)))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) 1) (-.f64 x eps))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (sqrt.f64 (-.f64 x eps))) (sqrt.f64 (-.f64 x eps)))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (.f64 eps eps))) (.f64 (cbrt.f64 (-.f64 x eps)) (cbrt.f64 (-.f64 x eps)))) (cbrt.f64 (-.f64 x eps)))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 (.f64 x x) (*.f64 eps eps))) (+.f64 (sqrt.f64 x) (sqrt.f64 eps))) (-.f64 (sqrt.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))) (cbrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(pow.f64 (+.f64 x eps) 2)
(pow.f64 (pow.f64 (+.f64 x eps) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 3)
(pow.f64 (pow.f64 (+.f64 x eps) 6) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x eps) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))
(cbrt.f64 (pow.f64 (+.f64 x eps) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))
(fma.f64 x (+.f64 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 (+.f64 x eps) x (*.f64 eps (+.f64 x eps)))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
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(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (+.f64 eps x))
(.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (.f64 (+.f64 eps x) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))))))
(/.f64 (+.f64 eps x) (/.f64 (.f64 (sqrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (sqrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(/.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))) (cbrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 eps x) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))) (cbrt.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (/.f64 (.f64 (+.f64 eps x) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))))) (cbrt.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(pow.f64 (+.f64 x eps) 2)
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 (pow.f64 (+.f64 x eps) 2) 1)
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) 2) 3)
(pow.f64 (pow.f64 (+.f64 x eps) 6) 1/3)
(cbrt.f64 (pow.f64 (+.f64 eps x) 6))
(sqrt.f64 (pow.f64 (+.f64 x eps) 4))
(sqrt.f64 (pow.f64 (+.f64 eps x) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(cbrt.f64 (pow.f64 (+.f64 x eps) 6))
(cbrt.f64 (pow.f64 (+.f64 eps x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) 2))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(fma.f64 x (+.f64 x eps) (*.f64 eps (+.f64 x eps)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)
(fma.f64 (+.f64 x eps) x (*.f64 eps (+.f64 x eps)))
(+.f64 (fma.f64 2 (.f64 eps x) (.f64 x x)) (*.f64 eps eps))
(pow.f64 (+.f64 eps x) 2)

eval525.0ms (8.6%)

Compiler: Compiled 30213 to 11754 computations (61.1% saved)

prune341.0ms (5.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1087	2	1089
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	1089	6	1095

Error

Counts

1095 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.6b	(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
▶	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	22.3b	(.f64 eps (.f64 2 x))
✓	15.6b	(*.f64 eps eps)

Compiler

Compiled 54 to 31 computations (42.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	eps	@	inf	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	x	@	0	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	eps	@	-inf	(*.f64 eps (+.f64 eps (+.f64 x x)))
0.0ms	x	@	-inf	(*.f64 eps (+.f64 eps (+.f64 x x)))

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`add-sqr-sqrt`
1812×	`*-un-lft-identity`
1704×	`add-cube-cbrt`
1684×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	162	15
2	2492	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 eps (+.f64 eps (+.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 x x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 (*.f64 eps (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (*.f64 eps eps) (+.f64 x x))) (+.f64 eps (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 (+.f64 x x) (*.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 eps eps) (+.f64 x x)) eps) (+.f64 eps (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (fma.f64 eps eps (-.f64 (+.f64 x x) (*.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps (+.f64 x x)) (*.f64 eps (+.f64 x x)))) (-.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 eps (+.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 eps (+.f64 x x)) (*.f64 eps (+.f64 x x))) (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (*.f64 eps (+.f64 x x)))))))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-/r/`
766×	`times-frac`
708×	`distribute-lft-out`
694×	`distribute-lft-in`
662×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1325
1	249	891
2	1063	887
3	5240	887

Stop Event

1×	node limit

Counts

49 → 44

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 (.f64 eps eps) 1) (.f64 (.f64 eps (+.f64 x x)) 1))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (+.f64 x x))) (+.f64 eps (*.f64 -2 x)))
(/.f64 (.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (+.f64 x x)) eps) (+.f64 eps (*.f64 -2 x)))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x)))) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (*.f64 eps (+.f64 x x))))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 eps eps (*.f64 eps (+.f64 x x)))

Outputs
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 eps eps) 1) (.f64 (.f64 eps (+.f64 x x)) 1))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (+.f64 x x))) (+.f64 eps (*.f64 -2 x)))
(/.f64 eps (/.f64 (+.f64 eps (.f64 x -2)) (-.f64 (.f64 eps eps) (+.f64 x x))))
(.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (.f64 x -2)))
(.f64 (fma.f64 eps eps (.f64 x -2)) (/.f64 eps (fma.f64 x -2 eps)))
(/.f64 eps (/.f64 (fma.f64 x -2 eps) (fma.f64 eps eps (*.f64 x -2))))
(/.f64 (.f64 eps (+.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))) (/.f64 (fma.f64 eps eps (+.f64 x (-.f64 x (*.f64 eps (+.f64 x x))))) eps))
(.f64 (/.f64 eps (fma.f64 eps eps (fma.f64 2 x (.f64 eps (*.f64 x -2))))) (fma.f64 2 x (pow.f64 eps 3)))
(.f64 (fma.f64 2 x (pow.f64 eps 3)) (/.f64 eps (+.f64 (+.f64 x x) (.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (+.f64 x x)) eps) (+.f64 eps (*.f64 -2 x)))
(/.f64 eps (/.f64 (+.f64 eps (.f64 x -2)) (-.f64 (.f64 eps eps) (+.f64 x x))))
(.f64 (/.f64 eps (fma.f64 x -2 eps)) (fma.f64 eps eps (.f64 x -2)))
(.f64 (fma.f64 eps eps (.f64 x -2)) (/.f64 eps (fma.f64 x -2 eps)))
(/.f64 eps (/.f64 (fma.f64 x -2 eps) (fma.f64 eps eps (*.f64 x -2))))
(/.f64 (.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3)) eps) (fma.f64 eps eps (-.f64 (+.f64 x x) (.f64 eps (+.f64 x x)))))
(/.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))) (/.f64 (fma.f64 eps eps (+.f64 x (-.f64 x (*.f64 eps (+.f64 x x))))) eps))
(.f64 (/.f64 eps (fma.f64 eps eps (fma.f64 2 x (.f64 eps (*.f64 x -2))))) (fma.f64 2 x (pow.f64 eps 3)))
(.f64 (fma.f64 2 x (pow.f64 eps 3)) (/.f64 eps (+.f64 (+.f64 x x) (.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x)))) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (.f64 (.f64 eps eps) (*.f64 eps (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (+.f64 (.f64 eps (pow.f64 eps 3)) (.f64 (.f64 eps (+.f64 x x)) (-.f64 (.f64 eps (+.f64 x x)) (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (.f64 eps (+.f64 x x)) 3)) (fma.f64 (.f64 eps (+.f64 x x)) (*.f64 eps (-.f64 (+.f64 x x) eps)) (pow.f64 eps 4)))
(/.f64 (+.f64 (pow.f64 eps 6) (.f64 8 (pow.f64 (.f64 eps x) 3))) (fma.f64 eps (.f64 eps (.f64 (+.f64 x x) (+.f64 x (-.f64 x eps)))) (pow.f64 eps 4)))
(/.f64 (+.f64 (pow.f64 eps 6) (pow.f64 (.f64 x (+.f64 eps eps)) 3)) (.f64 eps (.f64 eps (+.f64 (.f64 x (.f64 x 4)) (.f64 eps (fma.f64 x -2 eps))))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (*.f64 eps (+.f64 x x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
	0.0b	(+.f64 x (+.f64 x eps))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(*.f64 eps (+.f64 x (+.f64 x eps)))
0.0ms	eps	@	-inf	(*.f64 eps (+.f64 x (+.f64 x eps)))
0.0ms	x	@	0	(*.f64 eps (+.f64 x (+.f64 x eps)))
0.0ms	eps	@	inf	(*.f64 eps (+.f64 x (+.f64 x eps)))
0.0ms	x	@	inf	(*.f64 eps (+.f64 x (+.f64 x eps)))

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`associate-*r/`
946×	`associate-*l/`
906×	`*-commutative`
906×	`distribute-lft-in`
824×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	165	19
2	2524	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(*.f64 eps (+.f64 x (+.f64 x eps)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 x x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 eps (+.f64 x x))) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (+.f64 x x)) 1) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (/.f64 (-.f64 x (+.f64 eps x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) (-.f64 x (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))) (-.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps (+.f64 eps x)) 3)) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps (+.f64 eps x))) (*.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 x x))) (+.f64 eps (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps))) (+.f64 x (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (neg.f64 (-.f64 x (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (-.f64 x (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps (+.f64 eps x))))) (-.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps (+.f64 eps x)) 3))) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps (+.f64 eps x))) (*.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (sqrt.f64 (-.f64 x (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 eps (+.f64 x x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 eps (+.f64 x x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (cbrt.f64 (-.f64 x (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 x x)) eps) (+.f64 eps (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) eps) (+.f64 x (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3)) eps) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) eps) (neg.f64 (-.f64 x (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) eps) (neg.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) 1) (-.f64 x (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) 1) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))) 1) (-.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps (+.f64 eps x)) 3)) 1) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps (+.f64 eps x))) (*.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (*.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) (*.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))) (sqrt.f64 (-.f64 x (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) 1) (-.f64 x (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) (sqrt.f64 (-.f64 x (+.f64 eps x)))) (sqrt.f64 (-.f64 x (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) (*.f64 (cbrt.f64 (-.f64 x (+.f64 eps x))) (cbrt.f64 (-.f64 x (+.f64 eps x))))) (cbrt.f64 (-.f64 x (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) 1) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 eps (+.f64 x x))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (+.f64 x x)) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x (*.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps (*.f64 eps (+.f64 eps x)))))))

simplify122.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-/r*`
958×	`*-commutative`
952×	`fma-def`
936×	`+-commutative`
558×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	3163
1	548	2375
2	2433	2349
3	7920	2349

Stop Event

1×	node limit

Counts

83 → 92

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 1 (.f64 eps (+.f64 x x))) (*.f64 eps eps))
(+.f64 (.f64 (.f64 eps (+.f64 x x)) 1) (*.f64 eps eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x))))) 1)
(/.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (/.f64 (-.f64 x (+.f64 eps x)) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))) eps))
(/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (-.f64 x (+.f64 eps x)))
(/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x)))) (-.f64 (.f64 eps x) (.f64 eps (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (+.f64 (.f64 (.f64 eps x) (.f64 eps x)) (-.f64 (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))) (.f64 (.f64 eps x) (*.f64 eps (+.f64 eps x))))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x))) (+.f64 eps (-.f64 x x)))
(/.f64 (.f64 eps (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps))) (+.f64 x (-.f64 x eps)))
(/.f64 (.f64 eps (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3))) (+.f64 (.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 eps (neg.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (neg.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (neg.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (.f64 1 (.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (-.f64 x (+.f64 eps x)))
(/.f64 (.f64 1 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))))) (-.f64 (.f64 eps x) (*.f64 eps (+.f64 eps x))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3))) (+.f64 (.f64 (.f64 eps x) (.f64 eps x)) (-.f64 (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))) (.f64 (.f64 eps x) (.f64 eps (+.f64 eps x))))))
(/.f64 (.f64 (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (.f64 (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (sqrt.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 eps (+.f64 x x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 eps (+.f64 x x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (cbrt.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x)) eps) (+.f64 eps (-.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) eps) (+.f64 x (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3)) eps) (+.f64 (.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) eps) (neg.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) eps) (neg.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (.f64 (.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) 1) (-.f64 x (+.f64 eps x)))
(/.f64 (.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) 1) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x)))) 1) (-.f64 (.f64 eps x) (*.f64 eps (+.f64 eps x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) 1) (+.f64 (.f64 (.f64 eps x) (.f64 eps x)) (-.f64 (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))) (.f64 (.f64 eps x) (.f64 eps (+.f64 eps x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (*.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))) (sqrt.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) 1) (-.f64 x (+.f64 eps x)))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (sqrt.f64 (-.f64 x (+.f64 eps x)))) (sqrt.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (*.f64 (cbrt.f64 (-.f64 x (+.f64 eps x))) (cbrt.f64 (-.f64 x (+.f64 eps x))))) (cbrt.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x))))
(/.f64 (/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) 1) (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps (+.f64 x x))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (+.f64 x x)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(fma.f64 eps x (*.f64 eps (+.f64 eps x)))
(fma.f64 x eps (*.f64 eps (+.f64 eps x)))

Outputs
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 1 (.f64 eps (+.f64 x x))) (*.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 eps (+.f64 x x)) 1) (*.f64 eps eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x))))) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (/.f64 (-.f64 x (+.f64 eps x)) eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (-.f64 x (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x)))) (-.f64 (.f64 eps x) (.f64 eps (+.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (+.f64 (.f64 (.f64 eps x) (.f64 eps x)) (-.f64 (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))) (.f64 (.f64 eps x) (*.f64 eps (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 (.f64 eps (+.f64 eps x)) (-.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x)))))
(/.f64 (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 eps (.f64 (.f64 x x) eps) (.f64 (+.f64 eps x) (pow.f64 eps 3))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (.f64 (.f64 eps eps) (fma.f64 eps (+.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x))) (+.f64 eps (-.f64 x x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 eps (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps))) (+.f64 x (-.f64 x eps)))
(/.f64 eps (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps))))
(.f64 (/.f64 eps (+.f64 x (-.f64 x eps))) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) (+.f64 x (-.f64 x eps))))
(/.f64 (.f64 eps (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3))) (+.f64 (.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))))
(/.f64 eps (/.f64 (fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 eps (-.f64 eps (+.f64 x x)))) (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3))))
(.f64 (/.f64 eps (fma.f64 eps (+.f64 eps (.f64 -2 x)) (.f64 4 (.f64 x x)))) (+.f64 (pow.f64 eps 3) (*.f64 8 (pow.f64 x 3))))
(.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 eps (fma.f64 eps (+.f64 eps (.f64 x -2)) (.f64 x (.f64 x 4)))))
(/.f64 (.f64 eps (neg.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (neg.f64 (-.f64 x (+.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (neg.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (.f64 1 (.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (-.f64 x (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 1 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))))) (-.f64 (.f64 eps x) (*.f64 eps (+.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3))) (+.f64 (.f64 (.f64 eps x) (.f64 eps x)) (-.f64 (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))) (.f64 (.f64 eps x) (.f64 eps (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 (.f64 eps (+.f64 eps x)) (-.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x)))))
(/.f64 (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 eps (.f64 (.f64 x x) eps) (.f64 (+.f64 eps x) (pow.f64 eps 3))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (.f64 (.f64 eps eps) (fma.f64 eps (+.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps 0)))) (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 eps x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (.f64 eps (+.f64 eps x))))) (*.f64 eps (sqrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (/.f64 (hypot.f64 (pow.f64 (+.f64 eps x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)))))
(/.f64 (.f64 (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (sqrt.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 x (+.f64 eps x))) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2)))))
(.f64 (/.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (neg.f64 eps))) (sqrt.f64 (*.f64 (fma.f64 2 x eps) (neg.f64 eps))))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 2 x eps) (neg.f64 eps))) (sqrt.f64 (neg.f64 eps))))
(/.f64 (.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 eps (+.f64 x x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 eps (+.f64 x x))) 2)) (/.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps 0)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))))
(.f64 (/.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (/.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)))))
(/.f64 (.f64 (.f64 eps (pow.f64 (cbrt.f64 (+.f64 eps (+.f64 x x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)))) (cbrt.f64 (-.f64 x (+.f64 eps x))))
(.f64 (/.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (neg.f64 eps))) (cbrt.f64 (*.f64 (fma.f64 2 x eps) (neg.f64 eps))))
(.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) (neg.f64 eps))) (/.f64 (*.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (neg.f64 eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x)) eps) (+.f64 eps (-.f64 x x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) eps) (+.f64 x (-.f64 x eps)))
(/.f64 eps (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps))))
(.f64 (/.f64 eps (+.f64 x (-.f64 x eps))) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) (+.f64 x (-.f64 x eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3)) eps) (+.f64 (.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))))
(/.f64 eps (/.f64 (fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 eps (-.f64 eps (+.f64 x x)))) (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3))))
(.f64 (/.f64 eps (fma.f64 eps (+.f64 eps (.f64 -2 x)) (.f64 4 (.f64 x x)))) (+.f64 (pow.f64 eps 3) (*.f64 8 (pow.f64 x 3))))
(.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 eps (fma.f64 eps (+.f64 eps (.f64 x -2)) (.f64 x (.f64 x 4)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) eps) (neg.f64 (-.f64 x (+.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) eps) (neg.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (.f64 (.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2))) 1) (-.f64 x (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) 1) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x)))) 1) (-.f64 (.f64 eps x) (*.f64 eps (+.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) 1) (+.f64 (.f64 (.f64 eps x) (.f64 eps x)) (-.f64 (.f64 (.f64 eps (+.f64 eps x)) (.f64 eps (+.f64 eps x))) (.f64 (.f64 eps x) (.f64 eps (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (fma.f64 (.f64 eps x) (.f64 eps x) (.f64 (.f64 eps (+.f64 eps x)) (-.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x)))))
(/.f64 (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 eps (.f64 (.f64 x x) eps) (.f64 (+.f64 eps x) (pow.f64 eps 3))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 eps x)) 3)) (.f64 (.f64 eps eps) (fma.f64 eps (+.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (/.f64 (sqrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps 0)))) (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 eps x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (.f64 eps (+.f64 eps x))))) (*.f64 eps (sqrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (/.f64 (hypot.f64 (pow.f64 (+.f64 eps x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (*.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x))))) (sqrt.f64 (-.f64 x (+.f64 eps x))))
(/.f64 (.f64 eps (sqrt.f64 (+.f64 eps (+.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 x (+.f64 eps x))) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2)))))
(.f64 (/.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (neg.f64 eps))) (sqrt.f64 (*.f64 (fma.f64 2 x eps) (neg.f64 eps))))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 2 x eps) (neg.f64 eps))) (sqrt.f64 (neg.f64 eps))))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) 1) (-.f64 x (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (sqrt.f64 (-.f64 x (+.f64 eps x)))) (sqrt.f64 (-.f64 x (+.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (*.f64 (cbrt.f64 (-.f64 x (+.f64 eps x))) (cbrt.f64 (-.f64 x (+.f64 eps x))))) (cbrt.f64 (-.f64 x (+.f64 eps x))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 (/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x))))
(/.f64 (.f64 eps (-.f64 (.f64 x x) (pow.f64 (+.f64 eps x) 2))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x))) (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))))
(.f64 (/.f64 eps (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x)))) (/.f64 (.f64 (fma.f64 2 x eps) (neg.f64 eps)) (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))))
(.f64 (/.f64 eps (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x)))) (/.f64 (.f64 (fma.f64 2 x eps) (neg.f64 eps)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) 1) (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(/.f64 (/.f64 (.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps (-.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))) eps))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (/.f64 (fma.f64 x x (*.f64 eps (+.f64 eps x))) eps))
(.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 eps (+.f64 eps x) (.f64 x x))))
(pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 1)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))) 2)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))) 3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 3) 1/3)
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 2))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps (+.f64 x x))) eps))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x))))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 eps (+.f64 x x))) 3))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (+.f64 x x)) 3) (pow.f64 eps 3)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps (+.f64 x x)))))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps x (*.f64 eps (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 x eps (*.f64 eps (+.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

eval147.0ms (2.4%)

Compiler: Compiled 6267 to 2372 computations (62.2% saved)

prune60.0ms (1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	293	6	299

Error

Counts

299 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	22.3b	(.f64 eps (.f64 2 x))
✓	15.6b	(*.f64 eps eps)

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 eps (+.f64 x x)))
✓	0.2b	(/.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(/.f64 1 (+.f64 eps (+.f64 x x)))
1.0ms	eps	@	inf	(/.f64 1 (+.f64 eps (+.f64 x x)))
0.0ms	eps	@	-inf	(/.f64 1 (+.f64 eps (+.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (+.f64 eps (+.f64 x x)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 eps (+.f64 x x)))

rewrite112.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`associate-/r*`
946×	`*-commutative`
850×	`associate-/l*`
728×	`distribute-lft-in`
668×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	206	30
2	3140	30

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(/.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))
(/.f64 1 (+.f64 eps (+.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 x x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 eps (+.f64 eps x))) (*.f64 1 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps -1) (neg.f64 eps)) (*.f64 (/.f64 eps -1) (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps -1) (neg.f64 (+.f64 x x))) (*.f64 (/.f64 eps -1) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps -1) (neg.f64 (+.f64 eps x))) (*.f64 (/.f64 eps -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (+.f64 eps x)) 1) (*.f64 (*.f64 eps x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 eps) (/.f64 eps -1)) (*.f64 (neg.f64 (+.f64 x x)) (/.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (+.f64 x x)) (/.f64 eps -1)) (*.f64 (neg.f64 eps) (/.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (+.f64 eps x)) (/.f64 eps -1)) (*.f64 (neg.f64 x) (/.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (neg.f64 (neg.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (fma.f64 2 x eps) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 x eps)) (*.f64 eps (sqrt.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x eps)) (*.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (neg.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 2 x eps)) (*.f64 (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x))) (fma.f64 (neg.f64 (+.f64 x x)) 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 2 x eps)) (*.f64 (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x))) (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 x x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 2 x eps)) (*.f64 (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x))) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 2 x eps)) (*.f64 (fma.f64 (neg.f64 (+.f64 x x)) 1 (+.f64 x x)) (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 2 x eps)) (*.f64 (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 x x) (+.f64 x x)) (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 2 x eps)) (*.f64 (fma.f64 (neg.f64 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(/.f64 1 (cbrt.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 eps x) x) (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps))) (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 2 x eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x))) (-.f64 (-.f64 eps x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))) (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2)) 1) (/.f64 1 (cbrt.f64 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0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 x x) (*.f64 x (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (sqrt.f64 (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (-.f64 (*.f64 eps eps) (+.f64 x x)))) (sqrt.f64 (-.f64 (-.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 eps eps) (+.f64 x x)))) (-.f64 (-.f64 eps x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (cbrt.f64 (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (-.f64 (*.f64 eps eps) (+.f64 x x)))) (cbrt.f64 (-.f64 (-.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (-.f64 eps x) x) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 x x))) (+.f64 (+.f64 x x) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (-.f64 eps x) x) (-.f64 (pow.f64 (*.f64 eps eps) 3) (+.f64 x x))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (+.f64 x x) (+.f64 1 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps))) (-.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (+.f64 x x))) (-.f64 (pow.f64 eps 3) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps))) (+.f64 (+.f64 x x) (pow.f64 (pow.f64 eps 3) 3))) (+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (+.f64 x (-.f64 x (*.f64 (+.f64 x x) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 x eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x eps) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 x eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 x eps))))))))

simplify138.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-+l+`
1316×	`associate-+r+`
734×	`associate-/r/`
694×	`+-commutative`
512×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	392	6660
1	1204	5354
2	4600	5354

Stop Event

1×	node limit

Counts

182 → 220

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (.f64 1 (.f64 eps (+.f64 eps x))) (.f64 1 (.f64 eps x)))
(+.f64 (.f64 (/.f64 eps -1) (neg.f64 eps)) (.f64 (/.f64 eps -1) (neg.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 eps -1) (neg.f64 (+.f64 x x))) (.f64 (/.f64 eps -1) (neg.f64 eps)))
(+.f64 (.f64 (/.f64 eps -1) (neg.f64 (+.f64 eps x))) (.f64 (/.f64 eps -1) (neg.f64 x)))
(+.f64 (.f64 (.f64 eps (+.f64 eps x)) 1) (.f64 (.f64 eps x) 1))
(+.f64 (.f64 (neg.f64 eps) (/.f64 eps -1)) (.f64 (neg.f64 (+.f64 x x)) (/.f64 eps -1)))
(+.f64 (.f64 (neg.f64 (+.f64 x x)) (/.f64 eps -1)) (.f64 (neg.f64 eps) (/.f64 eps -1)))
(+.f64 (.f64 (neg.f64 (+.f64 eps x)) (/.f64 eps -1)) (.f64 (neg.f64 x) (/.f64 eps -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (neg.f64 (neg.f64 (fma.f64 2 x eps))))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (sqrt.f64 eps) (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)))
(.f64 (sqrt.f64 (fma.f64 2 x eps)) (.f64 eps (sqrt.f64 (fma.f64 2 x eps))))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)))
(*.f64 (neg.f64 eps) (neg.f64 (fma.f64 2 x eps)))
(.f64 -1 (.f64 eps (neg.f64 (fma.f64 2 x eps))))
(*.f64 (neg.f64 (fma.f64 2 x eps)) (neg.f64 eps))
(*.f64 (neg.f64 (fma.f64 2 x eps)) (/.f64 eps -1))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))) (.f64 eps (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))))
(*.f64 (/.f64 eps -1) (neg.f64 (fma.f64 2 x eps)))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (/.f64 1 (fma.f64 2 x eps))))
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 1 (fma.f64 2 x eps))) (sqrt.f64 eps))
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 1 (fma.f64 2 x eps))) (/.f64 (sqrt.f64 eps) 1))
(.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))) (.f64 (/.f64 (sqrt.f64 eps) 1) (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 (/.f64 (sqrt.f64 eps) 1) (cbrt.f64 (fma.f64 2 x eps))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (/.f64 1 (fma.f64 2 x eps))))
(*.f64 (/.f64 (cbrt.f64 eps) (/.f64 1 (fma.f64 2 x eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (fma.f64 2 x eps) -1/2)) (/.f64 (cbrt.f64 eps) (pow.f64 (fma.f64 2 x eps) -1/2)))
(*.f64 (/.f64 (cbrt.f64 eps) (pow.f64 (fma.f64 2 x eps) -1/2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (fma.f64 2 x eps) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))
(.f64 (/.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) 1) (sqrt.f64 (fma.f64 2 x eps)))
(*.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))) 1) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 1 (fma.f64 2 x eps))) (cbrt.f64 eps))
(*.f64 (/.f64 eps (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2))) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 eps) 2) (fma.f64 2 x eps)))) (cbrt.f64 eps))
(.f64 (/.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 2 x eps))))
(*.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2))) -1) (cbrt.f64 (neg.f64 (fma.f64 2 x eps))))
(.f64 (/.f64 (.f64 eps (-.f64 (.f64 eps eps) (+.f64 x x))) (-.f64 (.f64 eps eps) (+.f64 x x))) (fma.f64 2 x eps))
(.f64 (/.f64 (.f64 eps (-.f64 (.f64 eps eps) (+.f64 x x))) (-.f64 (pow.f64 eps 3) (+.f64 x x))) (+.f64 (.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 eps 1))))
(.f64 (/.f64 (.f64 eps (+.f64 x (+.f64 x (pow.f64 eps 3)))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) (-.f64 1 eps)) (.f64 (+.f64 x x) (-.f64 1 eps))))) (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) (-.f64 1 eps))))
(.f64 (/.f64 (.f64 eps (+.f64 x (+.f64 x (pow.f64 eps 3)))) (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) (-.f64 1 eps)) 3))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) (-.f64 1 eps)) (.f64 (+.f64 x x) (-.f64 1 eps)))) (.f64 (.f64 eps eps) (*.f64 (+.f64 x x) (-.f64 1 eps)))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 eps (fma.f64 2 x eps))) -1)
(neg.f64 (*.f64 eps (neg.f64 (fma.f64 2 x eps))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(+.f64 (/.f64 1 (fma.f64 2 x eps)) (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (fma.f64 (neg.f64 (+.f64 x x)) 1 (+.f64 x x))))
(+.f64 (/.f64 1 (fma.f64 2 x eps)) (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 x x) (+.f64 x x))))
(+.f64 (/.f64 1 (fma.f64 2 x eps)) (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (fma.f64 (neg.f64 x) 2 (+.f64 x x))))
(+.f64 (/.f64 1 (fma.f64 2 x eps)) (.f64 (fma.f64 (neg.f64 (+.f64 x x)) 1 (+.f64 x x)) (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))))
(+.f64 (/.f64 1 (fma.f64 2 x eps)) (.f64 (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 x x) (+.f64 x x)) (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))))
(+.f64 (/.f64 1 (fma.f64 2 x eps)) (.f64 (fma.f64 (neg.f64 x) 2 (+.f64 x x)) (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) eps) (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (neg.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) eps) (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (*.f64 (+.f64 x x) -1)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) eps) (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (*.f64 x -2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) eps) (.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (*.f64 (+.f64 x x) (neg.f64 (+.f64 x x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))) (.f64 eps eps)) (.f64 (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))) (.f64 (+.f64 x x) (-.f64 1 eps))))
(+.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))) (.f64 (+.f64 x x) (-.f64 1 eps))) (.f64 (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))) (.f64 eps eps)))
(+.f64 (.f64 eps (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))))
(+.f64 (.f64 eps (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (.f64 (+.f64 x x) -1) (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x)))))
(+.f64 (.f64 eps (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (.f64 x -2) (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x)))))
(+.f64 (.f64 eps (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x)))) (.f64 (.f64 (+.f64 x x) (neg.f64 (+.f64 x x))) (/.f64 1 (-.f64 (*.f64 eps eps) (+.f64 x x)))))
(+.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (.f64 (.f64 (+.f64 x x) (-.f64 1 eps)) (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3))))))
(+.f64 (.f64 (.f64 (+.f64 x x) (-.f64 1 eps)) (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 x eps)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 2 x eps)))
(*.f64 (/.f64 1 (fma.f64 2 x eps)) 1)
(*.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (pow.f64 (fma.f64 2 x eps) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (-.f64 (-.f64 eps x) x) (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))))
(.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))) (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))))
(*.f64 (/.f64 -1 (fma.f64 2 x eps)) -1)
(*.f64 -1 (/.f64 -1 (fma.f64 2 x eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (-.f64 (-.f64 eps x) x))
(.f64 (/.f64 1 (+.f64 x (+.f64 x (pow.f64 eps 3)))) (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) -2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x eps)) -1) (pow.f64 (sqrt.f64 (fma.f64 2 x eps)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (neg.f64 (-.f64 (-.f64 eps x) x)))
(.f64 (/.f64 1 (neg.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (neg.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps)))))
(.f64 (/.f64 1 (-.f64 (+.f64 x x) (.f64 eps eps))) (-.f64 (+.f64 x x) eps))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))) (+.f64 eps 0))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (.f64 x x) (.f64 x (+.f64 eps x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (sqrt.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps)))))
(.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (sqrt.f64 (-.f64 (-.f64 eps x) x)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (-.f64 (-.f64 eps x) x))
(.f64 (/.f64 -1 (neg.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (cbrt.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (cbrt.f64 (-.f64 (-.f64 eps x) x)))
(.f64 (/.f64 (-.f64 (-.f64 eps x) x) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 x x))) (+.f64 (+.f64 x x) (*.f64 eps eps)))
(.f64 (/.f64 (-.f64 (-.f64 eps x) x) (-.f64 (pow.f64 (.f64 eps eps) 3) (+.f64 x x))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (+.f64 x x) (+.f64 1 (*.f64 eps eps)))))
(.f64 (/.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))) (-.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (+.f64 x x))) (-.f64 (pow.f64 eps 3) (+.f64 x x)))
(.f64 (/.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))) (+.f64 (+.f64 x x) (pow.f64 (pow.f64 eps 3) 3))) (+.f64 (.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (+.f64 x (-.f64 x (.f64 (+.f64 x x) (pow.f64 eps 3))))))
(pow.f64 (fma.f64 2 x eps) -1)
(pow.f64 (/.f64 1 (fma.f64 2 x eps)) 1)
(pow.f64 (pow.f64 (fma.f64 2 x eps) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 x eps) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 x eps)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 x eps))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 x eps))))

Outputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (/.f64 1/2 x))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x)))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 x -2) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (/.f64 (.f64 x -2) (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 (*.f64 4 x) x) (pow.f64 eps 3))))
(+.f64 (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 1 eps)) (.f64 (/.f64 4 (pow.f64 eps 3)) (*.f64 x x)))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (/.f64 (.f64 x -2) (*.f64 eps eps)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 x (/.f64 (pow.f64 eps 3) x)) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (.f64 (/.f64 x (pow.f64 eps 3)) x) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 -8 (/.f64 (pow.f64 eps 4) (pow.f64 x 3))))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 x -2) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (/.f64 (.f64 x -2) (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 (*.f64 4 x) x) (pow.f64 eps 3))))
(+.f64 (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 1 eps)) (.f64 (/.f64 4 (pow.f64 eps 3)) (*.f64 x x)))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (/.f64 (.f64 x -2) (*.f64 eps eps)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 x (/.f64 (pow.f64 eps 3) x)) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (.f64 (/.f64 x (pow.f64 eps 3)) x) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 -8 (/.f64 (pow.f64 eps 4) (pow.f64 x 3))))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 x -2) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (/.f64 (.f64 x -2) (*.f64 eps eps))))
(+.f64 (/.f64 1 eps) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 (*.f64 4 x) x) (pow.f64 eps 3))))
(+.f64 (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 1 eps)) (.f64 (/.f64 4 (pow.f64 eps 3)) (*.f64 x x)))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (/.f64 (.f64 x -2) (*.f64 eps eps)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 x (/.f64 (pow.f64 eps 3) x)) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 eps 4)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (.f64 (/.f64 x (pow.f64 eps 3)) x) (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 -8 (/.f64 (pow.f64 eps 4) (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (/.f64 1/2 x))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
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(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x)))
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(.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (sqrt.f64 (-.f64 (-.f64 eps x) x)))
(.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (sqrt.f64 (-.f64 eps (+.f64 x x))))
(.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (fma.f64 eps eps (.f64 x -2)))) (sqrt.f64 (+.f64 eps (*.f64 x -2))))
(.f64 (/.f64 (pow.f64 (fma.f64 2 x eps) -1/2) (sqrt.f64 (fma.f64 eps eps (.f64 x -2)))) (sqrt.f64 (-.f64 eps (+.f64 x x))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (-.f64 (-.f64 eps x) x))
(.f64 (/.f64 1 (-.f64 (.f64 eps eps) (+.f64 x x))) (+.f64 eps (neg.f64 (+.f64 x x))))
(/.f64 (+.f64 eps (.f64 x -2)) (fma.f64 eps eps (.f64 x -2)))
(/.f64 (-.f64 eps (+.f64 x x)) (fma.f64 eps eps (*.f64 x -2)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))))
(/.f64 (.f64 1 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps)))) (+.f64 (+.f64 x x) (pow.f64 eps 3)))
(/.f64 (fma.f64 eps eps (.f64 2 (.f64 x (-.f64 1 eps)))) (fma.f64 2 x (pow.f64 eps 3)))
(/.f64 (fma.f64 (+.f64 x x) (-.f64 1 eps) (*.f64 eps eps)) (fma.f64 2 x (pow.f64 eps 3)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))))) (cbrt.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (+.f64 x x) (pow.f64 eps 3))) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2))) (cbrt.f64 (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 1 eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) -2) (cbrt.f64 (fma.f64 2 x (pow.f64 eps 3)))) (cbrt.f64 (fma.f64 eps eps (.f64 2 (*.f64 x (-.f64 1 eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) -2) (cbrt.f64 (fma.f64 2 x (pow.f64 eps 3)))) (cbrt.f64 (fma.f64 (+.f64 x x) (-.f64 1 eps) (.f64 eps eps))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (cbrt.f64 (-.f64 (-.f64 eps x) x)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (-.f64 (.f64 eps eps) (+.f64 x x)))) (cbrt.f64 (-.f64 eps (+.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) -2) (cbrt.f64 (fma.f64 eps eps (.f64 x -2)))) (cbrt.f64 (+.f64 eps (*.f64 x -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) -2) (cbrt.f64 (fma.f64 eps eps (.f64 x -2)))) (cbrt.f64 (-.f64 eps (+.f64 x x))))
(.f64 (/.f64 (-.f64 (-.f64 eps x) x) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 x x))) (+.f64 (+.f64 x x) (*.f64 eps eps)))
(.f64 (/.f64 (-.f64 eps (+.f64 x x)) (-.f64 (pow.f64 eps 4) (+.f64 x x))) (+.f64 x (+.f64 x (.f64 eps eps))))
(.f64 (/.f64 (+.f64 eps (.f64 x -2)) (+.f64 (.f64 x -2) (pow.f64 eps 4))) (fma.f64 2 x (.f64 eps eps)))
(.f64 (/.f64 (-.f64 eps (+.f64 x x)) (+.f64 (.f64 x -2) (pow.f64 eps 4))) (fma.f64 2 x (*.f64 eps eps)))
(.f64 (/.f64 (-.f64 (-.f64 eps x) x) (-.f64 (pow.f64 (.f64 eps eps) 3) (+.f64 x x))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (+.f64 x x) (+.f64 1 (*.f64 eps eps)))))
(.f64 (/.f64 (-.f64 eps (+.f64 x x)) (-.f64 (pow.f64 eps 6) (+.f64 x x))) (+.f64 (pow.f64 eps 4) (.f64 (+.f64 x x) (+.f64 1 (*.f64 eps eps)))))
(.f64 (/.f64 (+.f64 eps (.f64 x -2)) (+.f64 (*.f64 x -2) (pow.f64 eps 6))) (fma.f64 (+.f64 x x) (fma.f64 eps eps 1) (pow.f64 eps 4)))
(*.f64 (/.f64 (-.f64 eps (+.f64 x x)) (-.f64 (pow.f64 eps 6) (+.f64 x x))) (fma.f64 (+.f64 x x) (fma.f64 eps eps 1) (pow.f64 eps 4)))
(.f64 (/.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))) (-.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (+.f64 x x))) (-.f64 (pow.f64 eps 3) (+.f64 x x)))
(/.f64 (.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))) (-.f64 (pow.f64 eps 3) (+.f64 x x))) (-.f64 (pow.f64 eps 6) (+.f64 x x)))
(.f64 (+.f64 (pow.f64 eps 3) (.f64 x -2)) (/.f64 (fma.f64 eps eps (.f64 2 (.f64 x (-.f64 1 eps)))) (+.f64 (*.f64 x -2) (pow.f64 eps 6))))
(.f64 (+.f64 (pow.f64 eps 3) (.f64 x -2)) (/.f64 (fma.f64 (+.f64 x x) (-.f64 1 eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps 6) (+.f64 x x))))
(.f64 (/.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))) (+.f64 (+.f64 x x) (pow.f64 (pow.f64 eps 3) 3))) (+.f64 (.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (+.f64 x (-.f64 x (.f64 (+.f64 x x) (pow.f64 eps 3))))))
(.f64 (/.f64 (fma.f64 eps eps (.f64 (+.f64 x x) (-.f64 1 eps))) (+.f64 (+.f64 x x) (pow.f64 (pow.f64 eps 3) 3))) (+.f64 (pow.f64 eps 6) (-.f64 (+.f64 x x) (*.f64 (pow.f64 eps 3) (+.f64 x x)))))
(.f64 (/.f64 (fma.f64 eps eps (.f64 2 (.f64 x (-.f64 1 eps)))) (fma.f64 2 x (pow.f64 (pow.f64 eps 3) 3))) (+.f64 (pow.f64 eps 6) (fma.f64 2 x (.f64 (pow.f64 eps 3) (*.f64 x -2)))))
(.f64 (/.f64 (fma.f64 (+.f64 x x) (-.f64 1 eps) (.f64 eps eps)) (fma.f64 2 x (pow.f64 (pow.f64 eps 3) 3))) (+.f64 (pow.f64 eps 6) (fma.f64 2 x (.f64 (pow.f64 eps 3) (.f64 x -2)))))
(pow.f64 (fma.f64 2 x eps) -1)
(/.f64 1 (fma.f64 2 x eps))
(pow.f64 (/.f64 1 (fma.f64 2 x eps)) 1)
(/.f64 1 (fma.f64 2 x eps))
(pow.f64 (pow.f64 (fma.f64 2 x eps) -1/2) 2)
(/.f64 1 (fma.f64 2 x eps))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 x eps))) 3)
(/.f64 1 (fma.f64 2 x eps))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3)))
(sqrt.f64 (pow.f64 (fma.f64 2 x eps) -2))
(fabs.f64 (/.f64 1 (fma.f64 2 x eps)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 x eps))))
(/.f64 1 (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 x eps)))))
(/.f64 1 (fma.f64 2 x eps))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 x eps))))
(/.f64 1 (fma.f64 2 x eps))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 x eps))))
(/.f64 1 (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 x eps))))
(/.f64 1 (fma.f64 2 x eps))

eval92.0ms (1.5%)

Compiler: Compiled 4273 to 2307 computations (46% saved)

prune34.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	218	2	220
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	218	8	226

Error

Counts

226 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))
	15.6b	(/.f64 eps (/.f64 1 eps))
	22.3b	(/.f64 eps (/.f64 1/2 x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	22.3b	(.f64 eps (.f64 2 x))
✓	15.6b	(*.f64 eps eps)

Compiler

Compiled 66 to 42 computations (36.4% saved)

regimes62.0ms (1%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(/.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 1 eps))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(/.f64 eps (/.f64 1 (+.f64 eps (+.f64 x x))))
(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
(-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Outputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Calls

3 calls:

48.0ms	x
8.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`eps`
0.0b	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 115 to 54 computations (53% saved)

regimes11.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(/.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 1 eps))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(*.f64 eps (+.f64 x (+.f64 x eps)))

Outputs
(*.f64 eps (+.f64 eps (+.f64 x x)))

Calls

2 calls:

5.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`eps`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes25.0ms (0.4%)

Accuracy

Total -29.9b remaining (-486%)

Threshold costs -29.9b (-486%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(/.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 1 eps))

Outputs
(.f64 eps (.f64 2 x))
(*.f64 eps eps)
(.f64 eps (.f64 2 x))

Calls

2 calls:

13.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
6.2b	3	`x`
8.6b	3	`eps`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch47.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	5.057376862530663e-118	1.1647253462535638e-116
28.0ms	-3.0585603692622687e-80	-2.1335091414606097e-86

Results

26.0ms	118×	body	512	valid
14.0ms	126×	body	256	valid
5.0ms	12×	body	1024	valid

Compiler

Compiled 240 to 172 computations (28.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	96
1	33	96

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(if (<=.f64 x -909896301509733/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (.f64 eps (.f64 2 x)) (if (<=.f64 x 745293613779675/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(*.f64 eps eps)

Outputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(if (<=.f64 x -909896301509733/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (.f64 eps (.f64 2 x)) (if (<=.f64 x 745293613779675/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -909896301509733/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (not (<=.f64 x 745293613779675/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368))) (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 44 to 28 computations (36.4% saved)

soundness161.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-out--`
1122×	`distribute-lft-in`
874×	`distribute-rgt-in`
850×	`fma-neg`
748×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	21	25
2	67	25
3	170	25
4	548	15
5	2315	15
6	7614	15

Stop Event

1×	node limit

Compiler

Compiled 132 to 44 computations (66.7% saved)

end64.0ms (1%)

Compiler: Compiled 38 to 20 computations (47.4% saved)

Details

analyze1.0ms (0%)

sample2.0s (32.6%)

preprocess57.0ms (0.9%)

simplify67.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite51.0ms (0.8%)

simplify72.0ms (1.2%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite117.0ms (1.9%)

simplify129.0ms (2.1%)

eval122.0ms (2%)

prune86.0ms (1.4%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite75.0ms (1.2%)

simplify134.0ms (2.2%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize10.0ms (0.2%)

series5.0ms (0.1%)

rewrite257.0ms (4.2%)

simplify194.0ms (3.2%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite113.0ms (1.9%)

simplify378.0ms (6.2%)

eval525.0ms (8.6%)

prune341.0ms (5.6%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite56.0ms (0.9%)

simplify63.0ms (1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite94.0ms (1.5%)

simplify122.0ms (2%)

eval147.0ms (2.4%)

prune60.0ms (1%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite112.0ms (1.8%)

simplify138.0ms (2.3%)

eval92.0ms (1.5%)

prune34.0ms (0.6%)

regimes62.0ms (1%)

regimes11.0ms (0.2%)

regimes25.0ms (0.4%)

bsearch47.0ms (0.8%)

simplify5.0ms (0.1%)

soundness161.0ms (2.6%)

end64.0ms (1%)

Profiling